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arXiv · 1409.4023

Real affine varieties of nonnegative curvature

Xiaoyang Chen
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Abstract

Let $X_{\mathbb{C}}$ be a smooth real affine variety with compact real points $X_{\mathbb{R}}$. We show that $X_{\mathbb{C}}$ is diffeomorphic to the normal bundle of $X_{\mathbb{R}}$ provided that $X_{\mathbb{C}}$ admits a complete Riemannian metric of nonnegative sectional curvature which is also invariant under the conjugation.

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Xiaoyang Chen. 2014-09-14. Real affine varieties of nonnegative curvature. https://arxiv.org/abs/1409.4023

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